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Chapter 35: Q35P (page 1076)
We wish to coat flat glass (n = 1.50) with a transparent material (n = 1.25) so that reflection of light at wavelength 600 nm is eliminated by interference. What minimum thickness can the coating have to do this?
The minimum thickness of coating is
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In Fig. 35-40, two isotropic point sources of light (S1 and S2) are separated by distance along a y axis and emit in phase at wavelength 900 nm and at the same amplitude. A light detector is located at point P at coordinate on the x axis. What is the greatest value of at which the detected light is minimum due to destructive interference?
In two experiments, light is to be sent along the two paths shown in Fig. 35-35 by reflecting it from the various flat surfaces shown. In the first experiment, rays and are initially in phase and have a wavelength of . In the second experiment, rays and are initially in phase and have a wavelength of . What least value of distance is required such that the waves emerge from the region exactly in phase but the waves emerge exactly out of phase?
In Fig. 35-45, a broad beam of light of wavelength 683 nm is sent directly downward through the top plate of a pair of glass plates. The plates are 120 mm long, touch at the left end, and are separated by at the right end. The air between the plates acts as a thin film. How many bright fringes will be seen by an observer looking down through the top plate?
In Fig 35-59, an oil drop () floats on the surface of water () and is viewed from overhead when illuminated by sunlight shinning vertically downward and reflected vertically upward. (a) Are the outer (thinnest) regions of the drop bright or dark? The oil film displays several spectra of colors. (b) Move from the rim inward to the third blue band and using a wavelength of 475 nm for blue light, determine the film thickness there. (c) If the oil thickness increases, why do the colors gradually fade and then disappear?
In Figure 35-50, two isotropic point sources and emit light in phase at wavelength and at the same amplitude. The sources are separated by distance on an x axis. A viewing screen is at distance from and parallel to the y axis. The figure shows two rays reaching point P on the screen, at height . (a) At what value of do the rays have the minimum possible phase difference? (b) What multiple of gives that minimum phase difference? (c) At what value of do the rays have the maximum possible phase difference? What multiple of gives (d) that maximum phase difference and (e) the phase difference when ? (f) When , is the resulting intensity at point P maximum, minimum, intermediate but closer to maximum, or intermediate but closer to minimum?
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